document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156264>Question 1156264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An arch in the shape of the top half of an ellipse is 14 feet wide and 2 feet high at the center. Find the width of the arch between the point on the arch which are at a height of 1 ft.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779045 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=779045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The 14 foot width is the whole major axis; the 2 foot height is the semi-minor axis.  The equation (with the origin at the center of the arch at ground level) is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F7%5E2%2By%5E2%2F2%5E2+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F7%5E2%2By%5E2%2F2%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute y=1 and solve for x.<br><BR>\n" );
document.write( "Then remember the question asks for the width between the TWO points where the height is 1; that is 2x -- not just x.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );